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Finding the Fourth Proportional to 8,384.12, 11,570.02 and 4,555.72

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Solution

The fourth proportional to 8,384.12, 11,570.02 and 4,555.72 is: 6,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.12 : 11,570.02 = 4,555.72 : x
  2. Step 2: Convert to fraction form
    8,384.12/11,570.02 = 4,555.72/x
  3. Step 3: Cross multiply
    8,384.12x = 11,570.02 × 4,555.72
  4. Step 4: Simplify right side
    8,384.12x = 52,709,771.51
  5. Step 5: Solve for x
    x = 52,709,771.51/8,384.12
  6. Step 6: Final answer
    x = 6,286.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.